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Integral - Definitions by means of an integral |  | Integral - Definitions by means of an integral: Encyclopedia II - Integral - Definitions by means of an integral |  | Several mathematical functions and constants can be defined by using an integral. The natural logarithm is usually defined as
The mathematical constant e may then be defined as the number such that
...
See also:Integral, Integral - Computing integrals, Integral - Approximation of definite integrals, Integral - Integrals and computerized algebra systems, Integral - Improper integrals, Integral - Definitions of the integral, Integral - Definitions by means of an integral |  | | Integral, Integral - Approximation of definite integrals, Integral - Computing integrals, Integral - Definitions by means of an integral, Integral - Definitions of the integral, Integral - Improper integrals, Integral - Integrals and computerized algebra systems, Lists of integrals, Multiple integral (integrals for functions of more than one variable), Integral (examples), Antiderivative |  | |
|  |  | Integral: Encyclopedia II - Integral - Definitions by means of an integral
Integral - Definitions by means of an integral
Several mathematical functions and constants can be defined by using an integral. The natural logarithm is usually defined as
The mathematical constant e may then be defined as the number such that
Other related archives1854, Antiderivative, Bernhard Riemann, Cauchy principal value, Chain rule, Continuity, Daniell integral, Darboux integral, Denjoy integral, Fubini's theorem, Function, Fundamental theorem, Gamma function, Gaussian integral, Haar integral, Henri Lebesgue, Henstock-Kurzweil integral, Henstock-Kurzweil-Stieltjes integral, Implicit differentiation, Improper integrals, Integral (examples), Integration by cylindrical shells, Integration by disks, Integration by partial fractions, Integration by parts, Integration by substitution, Integration by trigonometric substitution, Lebesgue integral, Lebesgue-Stieltjes integral, Legendre functions, Leibniz, Limits of functions, Lists of integrals, Maple computer algebra system, Mathematica, Mean value theorem, Multiple integral, Parseval's identity, Perron integral, Product rule, Quotient rule, Related rates, Riemann integral, Riemann-Stieltjes integral, Risch-Norman algorithm, Simpson's rule, Taylor's theorem, Tensor calculus, Vector calculus, antiderivative, antiderivatives, area, calculus, computerized algebra systems, constant, continuous, cosines, differentiation, disk integration, division, domain, dominated convergence theorem, explicit formulae, exponentials, function, fundamental theorem of calculus, greatest lower bound, hypergeometric function, improper integral, infinitesimal, interval, least upper bound, limits, list of integrals, logarithms, long s, mass, measure, natural logarithm, notation, numerical integration, physics, polynomials, positive, range, real numbers, rectangle method, residue calculus, rigorous, set, shell integration, solids of revolution, special functions, sum, theorems, total, trapezoidal rule, vector, volume
 Adapted from the Wikipedia article "Definitions by means of an integral", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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